Question

Y=x^2 - 12x + 46
(Find the vertex )

Answer 1

(6, 10)

Explanation:

`f(x)=x^2-12x+46\\a=1\,,\ \ b=-12\\\\`

Vertex form of an equation of a quadratic function: f(x)=a(x-h)²+k, where vertex is (h, k) and:

`h=(-b)/(2a)\,,\ \ k=f(h)\\\\\\h=(-(-12))/(2\cdot1)=(12)/(2)=6\\\\k=f(6)=6^2-12\cdot6+46=36-72+46=10`